2(-8n-8)+3(4n+2)=5+n+3n-7

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Solution for 2(-8n-8)+3(4n+2)=5+n+3n-7 equation: 


Simplifying
2(-8n + -8) + 3(4n + 2) = 5 + n + 3n + -7

Reorder the terms:
2(-8 + -8n) + 3(4n + 2) = 5 + n + 3n + -7
(-8 * 2 + -8n * 2) + 3(4n + 2) = 5 + n + 3n + -7
(-16 + -16n) + 3(4n + 2) = 5 + n + 3n + -7

Reorder the terms:
-16 + -16n + 3(2 + 4n) = 5 + n + 3n + -7
-16 + -16n + (2 * 3 + 4n * 3) = 5 + n + 3n + -7
-16 + -16n + (6 + 12n) = 5 + n + 3n + -7

Reorder the terms:
-16 + 6 + -16n + 12n = 5 + n + 3n + -7

Combine like terms: -16 + 6 = -10
-10 + -16n + 12n = 5 + n + 3n + -7

Combine like terms: -16n + 12n = -4n
-10 + -4n = 5 + n + 3n + -7

Reorder the terms:
-10 + -4n = 5 + -7 + n + 3n

Combine like terms: 5 + -7 = -2
-10 + -4n = -2 + n + 3n

Combine like terms: n + 3n = 4n
-10 + -4n = -2 + 4n

Solving
-10 + -4n = -2 + 4n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-4n' to each side of the equation.
-10 + -4n + -4n = -2 + 4n + -4n

Combine like terms: -4n + -4n = -8n
-10 + -8n = -2 + 4n + -4n

Combine like terms: 4n + -4n = 0
-10 + -8n = -2 + 0
-10 + -8n = -2

Add '10' to each side of the equation.
-10 + 10 + -8n = -2 + 10

Combine like terms: -10 + 10 = 0
0 + -8n = -2 + 10
-8n = -2 + 10

Combine like terms: -2 + 10 = 8
-8n = 8

Divide each side by '-8'.
n = -1

Simplifying
n = -1

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